메뉴 건너뛰기




Volumn 15, Issue 2, 2011, Pages 501-522

The multiple Hurwitz zeta function and the multiple Hurwitz-Euler ETA function

Author keywords

Eta function; Gamma function; Generalized bernoulli numbers and polynomials; Generalized euler numbers and polynomials; Hurwitz (or generalized) zeta function; Multiple gamma functions; Multiple hurwitz zeta function; Multiple hurwitz euler eta function; Riemann zeta function; Taylor maclaurin series expansion

Indexed keywords


EID: 79954613038     PISSN: 10275487     EISSN: None     Source Type: Journal    
DOI: 10.11650/twjm/1500406218     Document Type: Article
Times cited : (46)

References (15)
  • 1
    • 0000038422 scopus 로고
    • The theory of the G-function
    • E. W. Barnes, The theory of the G-function, Quart. J. Math., 31 (1899), 264-314.
    • (1899) Quart. J. Math , vol.31 , pp. 264-314
    • Barnes, E.W.1
  • 2
    • 84960580659 scopus 로고
    • Genesis of the double Gamma function
    • E. W. Barnes, Genesis of the double Gamma function, Proc. London Math. Soc., (Ser. 1), 31 (1900), 358-381.
    • (1900) Proc. London Math. Soc., (Ser , vol.1 , Issue.31 , pp. 358-381
    • Barnes, E.W.1
  • 4
    • 0000457764 scopus 로고
    • On the theory of the multiple Gamma functions
    • E. W. Barnes, On the theory of the multiple Gamma functions, Trans. Cambridge Philos. Soc., 19 (1904), 374-439.
    • (1904) Trans. Cambridge Philos. Soc , vol.19 , pp. 374-439
    • Barnes, E.W.1
  • 5
    • 0001699466 scopus 로고
    • Determinant of Laplacian on S3
    • J. Choi, Determinant of Laplacian on S3, Math. Japon., 40 (1994), 155-166.
    • (1994) Math. Japon , vol.40 , pp. 155-166
    • Choi, J.1
  • 6
    • 0030372857 scopus 로고    scopus 로고
    • Explicit formulas for the Bernolli polynomials of order n
    • J. Choi, Explicit formulas for the Bernolli polynomials of order n, Indian J. Pure Appl. Math., 27 (1996), 667-674.
    • (1996) Indian J. Pure Appl. Math , vol.27 , pp. 667-674
    • Choi, J.1
  • 7
    • 33749589040 scopus 로고    scopus 로고
    • Some relationships between the generalized Apostol-Bernoulli polynomials and Hurwitz-Lerch Zeta functions
    • M. Garg, K. Jain and H. M. Srivastava, Some relationships between the generalized Apostol-Bernoulli polynomials and Hurwitz-Lerch Zeta functions, Integral Transform. Spec. Funct., 17 (2006), 803-815.
    • (2006) Integral Transform. Spec. Funct , vol.17 , pp. 803-815
    • Garg, M.1    Jain, K.2    Srivastava, H.M.3
  • 8
    • 0033481243 scopus 로고    scopus 로고
    • The determinant of the Laplacian on the n-sphere
    • H. Kumagai, The determinant of the Laplacian on the n-sphere, Acta Arith., 91 (1999), 199-208.
    • (1999) Acta Arith , vol.91 , pp. 199-208
    • Kumagai, H.1
  • 9
    • 33749664753 scopus 로고    scopus 로고
    • Some expansion formulas for a class of generalized Hurwitz-Lerch Zeta functions
    • S.-D. Lin, H. M. Srivastava and P.-Y. Wang, Some expansion formulas for a class of generalized Hurwitz-Lerch Zeta functions, Integral Transform. Spec. Funct., 17 (2006), 817-827.
    • (2006) Integral Transform. Spec. Funct , vol.17 , pp. 817-827
    • Lin, S.-D.1    Srivastava, H.M.2    Wang, P.-Y.3
  • 10
    • 0000193161 scopus 로고
    • Extremals of determinants of Laplacians
    • B. Osgood, R. Phillips and P. Sarnak, Extremals of determinants of Laplacians, J. Funct. Anal., 80 (1988), 148-211.
    • (1988) J. Funct. Anal , vol.80 , pp. 148-211
    • Osgood, B.1    Phillips, R.2    Sarnak, P.3
  • 11
    • 6944231154 scopus 로고    scopus 로고
    • Zeta regularized products and functional determinants on spheres
    • J. R. Quine and J. Choi, Zeta regularized products and functional determinants on spheres, Rocky Mountain J. Math., 26 (1996), 719-729.
    • (1996) Rocky Mountain J. Math , vol.26 , pp. 719-729
    • Quine, J.R.1    Choi, J.2
  • 13
    • 0001225575 scopus 로고
    • Determinants of Laplacians and multiple Gamma functions
    • I. Vardi, Determinants of Laplacians and multiple Gamma functions, SIAM J. Math. Anal., 19 (1988), 493-507.
    • (1988) SIAM J. Math. Anal , vol.19 , pp. 493-507
    • Vardi, I.1
  • 14
    • 22244446790 scopus 로고
    • Special functions, spectral functions and the Selberg Zeta function
    • A. Voros, Special functions, spectral functions and the Selberg Zeta function, Comm. Math. Phys., 110 (1987), 439-465.
    • (1987) Comm. Math. Phys , vol.110 , pp. 439-465
    • Voros, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.